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Finding the Fourth Proportional to 8,414.60, 11,623.12 and 6,827.16

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Solution

The fourth proportional to 8,414.60, 11,623.12 and 6,827.16 is: 9,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.60 : 11,623.12 = 6,827.16 : x
  2. Step 2: Convert to fraction form
    8,414.60/11,623.12 = 6,827.16/x
  3. Step 3: Cross multiply
    8,414.60x = 11,623.12 × 6,827.16
  4. Step 4: Simplify right side
    8,414.60x = 79,352,899.94
  5. Step 5: Solve for x
    x = 79,352,899.94/8,414.60
  6. Step 6: Final answer
    x = 9,430.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.